Abstract:
An analysis is performed to study the combined effect of radiation and conduction
on magneto hydrodynamic (I\.1HD) nalural convection fiow of an incompressible
and electrically conducting fluid along a vertical flat plate. 1he boundary layer
equations govcming the flow are shov,Tl into dimensionless non-linear form using
appropriate transformations and numerical solutions of the governing equations
are obtained by adopting implicit finite difference method together with Kellerbox
scheme.
A steady free convection boundary layer flow along a vertical flat plate of length I
and thickness b in presence ofuniforrn transverse magnetic field is studied. In this
analysis the flow field is significantly influenced by the effect of radiation and
conductioll. We observed that there is an identical effect designed for selected
values ofre1ated parameters in the flo"" region and also found excellent agreement
with the work of Pozzi- Lupo and Merkin- Pop.
In the third part, the above effects on magnetohydrodynamic (MHD) natural
convection boundary layer flow with Vi,COllSdissipation along a vertical flat plate
have been analyzed. The leading equations for sueb flow are derived b"
introducing same transformations. In this dissertation, we have evaluated
numerically the surface shear slress in terms uf local skin friction, rale of heat
transfer in terms of local Ni.lsscltnumber, velocity profile, temperature distribution
and Si.lrface temperature associate with selecled parameters including magnetic
parameter, radiation parameter, Prandtl number and viscous dissipation parameter.
The resulting solutions are presented graphically fur different values of mentioned
parameters,
